The total distance, d, fallen by a mass should be proportional to the square of the time, t. To check this, some students recorded the distance fallen at half second intervals. The results are given below. Time, t (s) Distance fallen, d (m) t² a. 0 0 0.5 1.0 1.5 2.0 2.5 4.9 11 19 30 1.2 Explain why the data does not support the hypothesis that 'the distance fallen is proportional to the time'.
The total distance, d, fallen by a mass should be proportional to the square of the time, t. To check this, some students recorded the distance fallen at half second intervals. The results are given below. Time, t (s) Distance fallen, d (m) t² a. 0 0 0.5 1.0 1.5 2.0 2.5 4.9 11 19 30 1.2 Explain why the data does not support the hypothesis that 'the distance fallen is proportional to the time'.
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Can you answer a, b, c, and d of this physics question?
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Transcribed Image Text:4.
The total distance, d, fallen by a mass should be proportional to the
square of the time, t. To check this, some students recorded the distance
fallen at half second intervals. The results are given below.
E
G
Time, t (s)
Distance fallen, d (m)
b.
d.
+²
0
0
0.5 1.0 1.5 2.0 2.5
11 19 30
1.2
4.9
Explain why the data does not support the hypothesis that 'the
distance fallen is proportional to the time'.
Plot a graph to verify the hypothesis that 'the distance fallen is
proportional to the square of the time".
Calculate the gradient of the straight line graph.
Hence write down the mathematical equation for the relationship
between d and t.
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